Answer:
or 
Step-by-step explanation:
Given


Required
Calculate the area of the sector
When angle is given in degrees, the area of sector is calculated as thus;


becomes






The above is the area in terms of π
Solving further.... (Take π as 3.14)
becomes


Hence, the area of the sector is
or 
The correct answer is c y=5
Answer:
<2 is 50º
Step-by-step explanation:
you first want to find what x is, so you would put the two equations in an (equation)=(equation) and get x and the number across from each other, that would be x=15º. you then plug in the 15 to the equation, and solve that, resulting in 130º. The angle is going to be 180 in total, so subtract the 130º from 180º and you would get 50º
Answer: 40
Step-by-step explanation:
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)